Projects per year
Abstract
A model equation for the Reynolds number dependence of the dimensionless dissipation rate in freely decaying homogeneous magnetohydrodynamic turbulence in the absence of a mean magnetic field is derived from the realspace energy balance equation, leading to Cμ=Cμ,+C/R+O(1/R2), where R is a generalized Reynolds number. The constant Cμ, describes the total energy transfer flux. This flux depends on magnetic and cross helicities, because these affect the nonlinear transfer of energy, suggesting that the value of Cμ is not universal. Direct numerical simulations were conducted on up to 20483 grid points, showing good agreement between data and the model. The model suggests that the magnitude of cosmologicalscale magnetic fields is controlled by the values of the vector field correlations. The ideas introduced here can be used to derive similar model equations for other turbulent systems.
Original language  English 

Article number  235001 
Journal  Physical Review Letters 
Volume  114 
Issue number  23 
DOIs  
Publication status  Published  11 Jun 2015 
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Dive into the research topics of 'Nonuniversality and finite dissipation in decaying magnetohydrodynamic turbulence'. Together they form a unique fingerprint.Projects
 2 Finished

Particle Theory at the Higgs Centre
Ball, R., Berera, A., Boyle, P., CallisonBurch, C., Del Debbio, L., Gardi, E., Kennedy, A., O'Connell, D., Zwicky, R., Berera, A., Boyle, P., Buckley, A., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., Kenway, R., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/14 → 30/09/18
Project: Research

Particle Theory at the Tait Institute
Ball, R., Berera, A., Boyle, P., Del Debbio, L., FigueroaO'Farrill, J., Gardi, E., Horsley, R., Kennedy, A., Kenway, R., Pendleton, B. & Simon Soler, J.
1/10/11 → 30/09/15
Project: Research
Datasets

Nonuniversality and finite dissipation in magnetohydrodynamic turbulence
F. Linkmann, M. (Creator), Berera, A. (Creator), McComb, W. D. (Creator) & E. McKay, M. (Creator), University of Edinburgh. School of Physics and Astronomy, 12 May 2015
DOI: 10.7488/ds/247, http://hdl.handle.net/10283/772 and one more link, http://arxiv.org/abs/1502.06439 (show fewer)
Dataset
Profiles

Arjun Berera
 School of Physics and Astronomy  Personal Chair in Theoretical Physics
Person: Academic: Research Active

Moritz Linkmann
 School of Mathematics  Lectureship/Readership in Applied and Computational Mathemat
Person: Academic: Research Active (Teaching)